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Value distribution of some $q$-difference polynomials

Na Xu|Chun-Ping Zhong
대한수학회 (The Korean Mathematical Society)|2016.01|대한수학회보 (Bulletin of the KMS)|제53권 제1호|pp. 29-38

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참고문헌

키워드

value distributionentire function$q$-difference polynomial
주제분류수학

초록

For a transcendental entire function $f(z)$ with zero order, the purpose of this article is to study the value distributions of $q$-difference polynomial $f(qz)-a(f(z))^{n}$ and $f(q_{1}z)f(q_{2}z)\cdots f(q_{m}z)-a(f(z))^{n}.$ The property of entire solution of a certain $q$-difference equation is also considered.

Abstract

For a transcendental entire function $f(z)$ with zero order, the purpose of this article is to study the value distributions of $q$-difference polynomial $f(qz)-a(f(z))^{n}$ and $f(q_{1}z)f(q_{2}z)\cdots f(q_{m}z)-a(f(z))^{n}.$ The property of entire solution of a certain $q$-difference equation is also considered.

참고문헌 (19)

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관련 논문AI추천

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